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math.GR2015
The tame Butcher group
Geir Bogfjellmo, Alexander Schmeding
The Butcher group is a powerful tool to analyse integration methods for ordinary differential equations, in particular Runge--Kutta methods. Recently, a natural Lie group structure…
math.GR2015
Character groups of Hopf algebras as infinite-dimensional Lie groups
Geir Bogfjellmo, Rafael Dahmen, Alexander Schmeding
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infin…